### Abstract

Preliminary results on the influence of periodically distributed cylindrical nanoinclusions introduced into the f.c.c. hard sphere crystal on its elastic properties and the Poisson's ratio are presented. The nanoinclusions are oriented along the [001]-direction and filled with hard spheres of diameter different from the spheres forming the matrix crystal. The Monte Carlo simulations show that symmetry of the crystal changes from the cubic to tetragonal one. In the case when spheres inside the inclusion are smaller than spheres forming the crystal, the changes of Poisson's ratio are qualitatively similar to the changes observed earlier in the Yukawa sphere crystal, that is, the introduction of nanochannels causes simultaneous decrease of the Poisson's ratio in the [110][1 (Formula presented.) 0]-direction, and its increase in [110][001]-direction. Filling the nanochannel with spheres having diameters greater than that of the spheres in the crystalline matrix, causes a decrease of the Poisson's ratio value from 0.065 down to −0.365 in [111][11 (Formula presented.)]-direction. The dependence of the minimal Poisson's ratio on the direction of the applied load is shown in a form of surfaces in spherical coordinates, for selected values of nanochannel particle diameters. The most negative value of the Poisson's ratio found amongst all systems studied was as low as −0.873.

Original language | English |
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Article number | 1800611 |

Journal | Physica Status Solidi (B) Basic Research |

DOIs | |

Publication status | Accepted/In press - Jan 1 2018 |

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### Keywords

- auxetics
- hard inclusions
- nanochannel
- negative Poisson's ratio

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physica Status Solidi (B) Basic Research*, [1800611]. https://doi.org/10.1002/pssb.201800611

**Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]-Nanochannels Filled by Hard Spheres of Another Diameter.** / Narojczyk, Jakub W.; Wojciechowski, Krzysztof W.; Tretiakov, Konstantin V.; Smardzewski, Jerzy; Scarpa, Fabrizio; Piglowski, Pawel M.; Kowalik, Mikolaj; Imre, A.; Bilski, Mikolaj.

Research output: Contribution to journal › Article

*Physica Status Solidi (B) Basic Research*. https://doi.org/10.1002/pssb.201800611

}

TY - JOUR

T1 - Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]-Nanochannels Filled by Hard Spheres of Another Diameter

AU - Narojczyk, Jakub W.

AU - Wojciechowski, Krzysztof W.

AU - Tretiakov, Konstantin V.

AU - Smardzewski, Jerzy

AU - Scarpa, Fabrizio

AU - Piglowski, Pawel M.

AU - Kowalik, Mikolaj

AU - Imre, A.

AU - Bilski, Mikolaj

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Preliminary results on the influence of periodically distributed cylindrical nanoinclusions introduced into the f.c.c. hard sphere crystal on its elastic properties and the Poisson's ratio are presented. The nanoinclusions are oriented along the [001]-direction and filled with hard spheres of diameter different from the spheres forming the matrix crystal. The Monte Carlo simulations show that symmetry of the crystal changes from the cubic to tetragonal one. In the case when spheres inside the inclusion are smaller than spheres forming the crystal, the changes of Poisson's ratio are qualitatively similar to the changes observed earlier in the Yukawa sphere crystal, that is, the introduction of nanochannels causes simultaneous decrease of the Poisson's ratio in the [110][1 (Formula presented.) 0]-direction, and its increase in [110][001]-direction. Filling the nanochannel with spheres having diameters greater than that of the spheres in the crystalline matrix, causes a decrease of the Poisson's ratio value from 0.065 down to −0.365 in [111][11 (Formula presented.)]-direction. The dependence of the minimal Poisson's ratio on the direction of the applied load is shown in a form of surfaces in spherical coordinates, for selected values of nanochannel particle diameters. The most negative value of the Poisson's ratio found amongst all systems studied was as low as −0.873.

AB - Preliminary results on the influence of periodically distributed cylindrical nanoinclusions introduced into the f.c.c. hard sphere crystal on its elastic properties and the Poisson's ratio are presented. The nanoinclusions are oriented along the [001]-direction and filled with hard spheres of diameter different from the spheres forming the matrix crystal. The Monte Carlo simulations show that symmetry of the crystal changes from the cubic to tetragonal one. In the case when spheres inside the inclusion are smaller than spheres forming the crystal, the changes of Poisson's ratio are qualitatively similar to the changes observed earlier in the Yukawa sphere crystal, that is, the introduction of nanochannels causes simultaneous decrease of the Poisson's ratio in the [110][1 (Formula presented.) 0]-direction, and its increase in [110][001]-direction. Filling the nanochannel with spheres having diameters greater than that of the spheres in the crystalline matrix, causes a decrease of the Poisson's ratio value from 0.065 down to −0.365 in [111][11 (Formula presented.)]-direction. The dependence of the minimal Poisson's ratio on the direction of the applied load is shown in a form of surfaces in spherical coordinates, for selected values of nanochannel particle diameters. The most negative value of the Poisson's ratio found amongst all systems studied was as low as −0.873.

KW - auxetics

KW - hard inclusions

KW - nanochannel

KW - negative Poisson's ratio

UR - http://www.scopus.com/inward/record.url?scp=85057716344&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057716344&partnerID=8YFLogxK

U2 - 10.1002/pssb.201800611

DO - 10.1002/pssb.201800611

M3 - Article

JO - Physica Status Solidi (B): Basic Research

JF - Physica Status Solidi (B): Basic Research

SN - 0370-1972

M1 - 1800611

ER -